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Preference reversal and group strategy-proofness

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  • Berga, Dolors
  • Moreno, Bernardo

Abstract

We study the problem of choosing one alternative given agent’s strict preferences. We show that preference reversal (Eliaz, 2004) implies group strategy-proofness. Moreover, they are equivalent for the special cases where only two or three alternatives may be chosen.

Suggested Citation

  • Berga, Dolors & Moreno, Bernardo, 2020. "Preference reversal and group strategy-proofness," Economics Letters, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:ecolet:v:196:y:2020:i:c:s0165176520303037
    DOI: 10.1016/j.econlet.2020.109493
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    References listed on IDEAS

    as
    1. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    2. Kim C. Border & J. S. Jordan, 1983. "Straightforward Elections, Unanimity and Phantom Voters," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 153-170.
    3. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 791-808, November.
    4. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    5. Larsson, Bo & Svensson, Lars-Gunnar, 2006. "Strategy-proof voting on the full preference domain," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 272-287, December.
    6. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Rao, K.P.S. Bhaskara & Basile, Achille & Rao, Surekha, 2021. "On the relation between preference reversal and strategy-proofness," Economics Letters, Elsevier, vol. 206(C).
    2. Bhaskara Rao, K.P.S. & Basile, Achille & Rao, Surekha, 2021. "Preference reversal and strategy-proofness with more than three alternatives," Economics Letters, Elsevier, vol. 208(C).

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    More about this item

    Keywords

    Social choice function; Group strategy-proofness; Preference reversal;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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